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This paper presents hybrid linguistic expressions and operations for the hybrid linguistic multiple criteria group decision making (MCGDM) issue with identical and/or different single and interval linguistic term values. First, we propose a single and interval linguistic term multivalued set/element (SILTMS/SILTME) and develop a consistency measure of SILTMEs based on Shannon entropy to measure the consistency degree of single and interval linguistic term values in SILTME. Second, we converse SILTMS/SILTME into an uncertain linguistic consistency set/element (ULCS/ULCE) in terms of the mean and consistency measure of SILTMEs to reasonably perform operations between different information forms/sequence lengths in SILTMSs. Third, we define some operations of ULCEs and the expected values and sorting rules of ULCEs. Fourth, we present the ULCE weighted mean and geometric operators and their characteristics. Finally, we develop a MCGDM model using the weighted mean operation of the two operators and apply it in the mine safety assessment.

MCGDM model using uncertain linguistic consistency sets of single and interval linguistic term multivalued sets